题目
题型:不详难度:来源:
已知函数f(x)=4x3-3x2sin
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-14044.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-59523.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-14044.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-35663.gif)
(1).求
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-14044.gif)
(2).若在
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-14044.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-14044.gif)
(3).设x0>
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-12949.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035740-12949.gif)
答案
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035741-90968.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035741-49920.gif)
(3)略
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035741-36252.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035742-47974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035742-62568.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035742-38689.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035742-52824.gif)
x | ![]() | 0 | ![]() | ![]() | ![]() |
![]() | + | 0 | _ | 0 | + |
![]() | ![]() | 极大值 | ![]() | 极小值 | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035744-86632.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035744-60737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035741-90968.gif)
(2)由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035744-64753.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035745-32520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035745-75540.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035741-49920.gif)
(3)证明:假设
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035745-65027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035746-28906.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035746-96266.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035746-41221.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035746-41206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035746-85364.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035747-35439.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035747-90920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035747-89408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035747-84963.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035748-26584.gif)
核心考点
试题【(本小题满分12分)已知函数f(x)=4x3-3x2sin+的极小值大于零,其中x∈R, ∈[0,].(1).求的取值范围.(2).若在的取值范围内的任意,函数】;主要考察你对正弦函数的图象与性质等知识点的理解。[详细]
举一反三
①在函数
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035728-64395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035728-60832.png)
②函数
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035728-72057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035729-39738.png)
③关于
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035729-45838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035729-54574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035729-31675.png)
④已知命题p:对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035730-11107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035730-29475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035730-44235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035730-11107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035730-10097.png)
其中所有真命题的序号是______________.
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035724-94780.gif)
A.向左平移![]() | B.向右平移![]() | C.向左平移![]() | D.向右平移![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035720-46478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035720-93923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035720-84467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035721-50093.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035721-58328.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035721-25681.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035721-69270.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035721-77342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035714-78366.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035715-46483.gif)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035715-34633.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035715-51012.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035715-34633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035708-66773.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035708-94424.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035708-26953.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035709-33143.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035709-66260.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035709-76700.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035709-35563.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035710-79793.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035710-88408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035710-43554.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190914/20190914035710-46765.gif)
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